Holomorphic maps and the complete 1/N expansion of 2D SU(N) Yang-Mills

Details Holomorphic maps and the complete 1/N expansion of 2D SU(N) Yang-Mills Holomorphic maps and the complete 1/N expansion of 2D SU(N) Yang-Mills

2008-02-25

arxiv.org/abs/0802.3662v2

JHEP 0806:015,2008

Physics

High Energy Physics

High Energy Physics - Theory

17 pages + 8 (Appendices) ; 4 figures

Scientific paper

10.1088/1126-6708/2008/06/015

We give a description of the complete 1/N expansion of SU(N) 2D Yang Mills theory in terms of the moduli space of holomorphic maps from non-singular worldsheets. This is related to the Gross-Taylor coupled 1/N expansion through a map from Brauer algebras to symmetric groups. These results point to an equality between Euler characters of moduli spaces of holomorphic maps from non-singular worldsheets with a target Riemann surface equipped with markings on the one hand and Euler characters of another moduli space involving worldsheets with double points (nodes).

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